VARIATIONAL APPROACH TO FRACTAL SOLITARY WAVES

被引：68

作者：

He, Ji-Huan ^{[1
,2
,3
]}

Hou, Wei-Fan ^{[1
]}

He, Chun-Hui ^{[1
]}

Saeed, Tareq ^{[4
]}

Hayat, Tasawar ^{[4
,5
]}

机构：

[1] Xian Univ Architecture & Technol, Xian 710055, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

[3] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, 199 Ren Ai Rd, Suzhou 215123, Peoples R China

[4] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[5] Quaid I Azam Univ, Dept Math, Islamabad 45320, Pakistan

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2021年 / 29卷 / 07期

关键词：

Soliton; Two-Scale Fractal Derivative; Fractal Complex Transform; Fractal Variational Theory; CALCULUS; EQUATION; MODEL;

D O I：

10.1142/S0218348X21501991

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The morphology of a shallow-water wave is affected by the unsmooth boundary, while its peak is rarely changed. This phenomenon cannot be explained by a differential model. This paper adopts a fractal modification of the Boussinesq equation, and its traveling solitary solution is studied through its fractal variational principle, the results reveal the basic properties of solitary waves in fractal space.

引用

页数：5

共 50 条

[21] A fractal modification of Chen-Lee-Liu equation and its fractal variational principle
He, Ji-Huan
He, Chun-Hui
Saeed, Tareq
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2021, 35 (21):
[22] FRACTAL VARIATIONAL PRINCIPLES FOR TWO DIFFERENT TYPES OF FRACTAL PLASMA MODELS WITH VARIABLE COEFFICIENTS
Wang, Kang-Le
Wang, Hao
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (03)
[23] VARIATIONAL PRINCIPLE FOR A GENERALIZED KdV EQUATION IN A FRACTAL SPACE
Shen, Yue
He, Ji-Huan
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2020, 28 (04)
[24] A NOVEL APPROACH FOR FRACTAL BURGERS-BBM EQUATION AND ITS VARIATIONAL PRINCIPLE
Wang, Kang-Le
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (03)
[25] A FRACTAL VARIATIONAL PRINCIPLE FOR THE TELEGRAPH EQUATION WITH FRACTAL DERIVATIVES
Wang, Kang-Le
Yao, Shao-Wen
Liu, Yan-Ping
Zhang, Li-Na
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2020, 28 (04)
[26] Solitary waves travelling along an unsmooth boundary
He, Ji-Huan
Qie, Na
He, Chun-Hui
RESULTS IN PHYSICS, 2021, 24
[27] Dynamics of particles in cold electrons plasma: fractional actionlike variational approach versus fractal spaces approach
El-Nabulsi, Rami Ahmad
Khalili Golmankhaneh, Alireza
WAVES IN RANDOM AND COMPLEX MEDIA, 2021, : 350 - 371
[28] A NOVEL VARIATIONAL PERSPECTIVE TO FRACTAL WAVE EQUATIONS WITH VARIABLE COEFFICIENTS
Han, Xue-Feng
Wang, Kang-Le
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (01)
[29] VARIATIONAL PRINCIPLE FOR A FRACTAL LUBRICATION PROBLEM
Zuo, Yu-Ting
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2024, 32 (05)
[30] Overtopping of solitary waves and solitary bores on a plane beach
Baldock, T. E.
Peiris, D.
Hogg, A. J.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2012, 468 (2147): : 3494 - 3516

← 1 2 3 4 5 →